101223132021333 has 48 divisors (see below), whose sum is σ = 174466490440320. Its totient is φ = 57834164203200.

The previous prime is 101223132021317. The next prime is 101223132021379. The reversal of 101223132021333 is 333120231322101.

101223132021333 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 3 + 1 + 320 + 2 + 1 + 333 = 666.

It is not a de Polignac number, because 101223132021333 - 2⁴ = 101223132021317 is a prime.

It is a super-2 number, since 2×101223132021333² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101223132021297 and 101223132021306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223132021313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5003353 + ... + 15082433.

It is an arithmetic number, because the mean of its divisors is an integer number (3634718550840).

Almost surely, 2^{101223132021333} is an apocalyptic number.

It is an amenable number.

101223132021333 is a deficient number, since it is larger than the sum of its proper divisors (73243358418987).

101223132021333 is a wasteful number, since it uses less digits than its factorization.

101223132021333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10086695 (or 10086682 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 101223132021333 its reverse (333120231322101), we get a palindrome (434343363343434).

The spelling of 101223132021333 in words is "one hundred one trillion, two hundred twenty-three billion, one hundred thirty-two million, twenty-one thousand, three hundred thirty-three".